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Inessa05 [86]
3 years ago
12

Twelve fifths minus three tenths

Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

12/5 - 3/10 = 24-3 /10 = 21/10

OR 2.1 in decimal form

Pavel [41]3 years ago
4 0
Question: 12/5 - 3/10 

Answer:=12/5+(−3)/10

<span>=<span><span>24/10</span>+(<span><span>−3)/</span>10

</span></span></span><span>=<span><span>24+(<span>−3)/</span></span>10

</span></span><span>=<span>21/10
</span></span><span>
Decimal= 2.1

Hope this helps. :)</span>
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Cos(a) 63/65 to find sin(a) and tan(a)
Semenov [28]

Answer:

\huge\boxed{\sin\alpha=-\dfrac{16}{65},\ \tan\alpha=-\dfrac{16}{63}}\\\\or\\\\\huge\boxed{\sin\alpha=\dfrac{16}{65},\ \tan\alpha=\dfrac{16}{63}}

Step-by-step explanation:

\cos\alpha=\dfrac{63}{65}\\\\\text{use}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\alpha+\left(\dfrac{63}{65}\right)^2=1\\\\\sin^2\alpha+\dfrac{3969}{4225}=1\qquad\text{subtract}\ \dfrac{3969}{4225}\ \text{from both sides}\\\\\sin^2\alpha=\dfrac{4225}{4225}-\dfrac{3969}{4225}\\\\\sin^2\alpha=\dfrac{256}{4225}\to\sin\alpha=\pm\sqrt{\dfrac{256}{4225}}\\\\\sin\alpha=\pm\dfrac{\sqrt{256}}{\sqrt{4225}}\\\\\sin\alpha=\pm\dfrac{16}{65}

\text{use}\ \tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}\\\\\text{substitute:}\\\\\tan\alpha=\dfrac{\pm\frac{16}{65}}{\frac{63}{65}}=\pm\dfrac{16}{65}\cdot\dfrac{65}{63}=\pm\dfrac{16}{63}

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